Question

The length of an hour hand of a clock is 10
cm. What is the area (in cm) swept by it in
3 hours?​

Answer 1

Step-by-step explanation:

ANSWER

We have,

Angle described by the minute hand in one minute =6

o

∴ Angle described by the minute hand in 35 minutes =(6×35)

o

=210

o

∴ Area swept by the minute hand in 35 minutes.

= Area of a sector of angle 210

o

in a circle of radius 10 cm

=

360

θ

πr

1

2

=

360

210

×

7

22

×(10)

2

cm

2

.....

=183.3 cm

2